Question

34) A number 216+1 is divisible by x. Which among the following is also divisible by x?
A) 296+1
B) 28+1
C) 232+1
D) 248+1​

Answer 1

Answer:

Let 232 = x.

Then,

(232 + 1) = (x + 1)

Let (x + 1) be completely divisible by the natural number N.

Then,

(296 + 1)

= [(232)3 + 1]

= (x3 + 1)

= (x + 1)(x2 - x + 1), which is completely divisible by N, since (x + 1) is divisible by N.